Merge branch 'main' of https://github.com/errorcorrectionzoo/eczoo_data

codes/quantum/groups/group_gkp/group_gkp.yml

@@ -33,7 +33,7 @@ description: |
         & Galois-qudit CSS
         \\
     \(n\) modes & \( \mathbb{R}^n \) & \( \mathbb{R}^m \)
-        & analog stabilizer
+        & analog CSS
         \\
     \(n\) modes & \( \mathbb{R}^n \) & \( \mathbb{Z}^n \)
         & multimode GKP
@@ -74,10 +74,11 @@ relations:
       detail: 'Group GKP codes are stabilized by \(X\)-type \hyperref[topic:group-pauli]{group-based error operators} representing \(H\) and all \(Z\)-type operators that are constant on \(K\).
       However, the \(Z\)-type operators are not unitary for non-Abelian groups.'
     - code_id: oscillator_stabilizer
-      detail: 'The group-GKP construction encompasses all bosonic CSS codes.
-      A single-mode qubit GKP code corresponds to the \(2\mathbb{Z}\subset\mathbb{Z}\subset\mathbb{R}\) group construction, and multimode GKP codes can be similarly described.
-      An \([[n,k,d]]_{\mathbb{R}}\) analog stabilizer code corresponds to the \(\mathbb{R}^{ k_1} \subseteq \mathbb{R}^{ k_2} \subset \mathbb{R}^{n}\) group construction, where \(k=k_2/k_1\).
-      GKP stabilizer codes for \(n\) modes correspond to subgroups \(\mathbb{Z}^m\) for \(m<n\).'
+      detail: |
+        The group-GKP construction encompasses all bosonic CSS codes.
+        A single-mode qubit GKP code corresponds to the \(2\mathbb{Z}\subset\mathbb{Z}\subset\mathbb{R}\) group construction, and multimode GKP codes can be similarly described.
+        Oscillator-into-oscillator GKP codes for \(n\) modes correspond to subgroups \(\mathbb{Z}^m\) for \(m<n\).
+        An \([[n,k,d]]_{\mathbb{R}}\) analog CSS code corresponds to the \(\mathbb{R}^{ k_1} \subseteq \mathbb{R}^{ k_2} \subset \mathbb{R}^{n}\) group construction, where \(k=k_2-k_1\).'
 
 # Begin Entry Meta Information
 _meta:

codes/quantum/oscillators/stabilizer/hyperplane/cv_cluster_state.yml

@@ -53,7 +53,7 @@ notes:
 relations:
   parents:
     - code_id: analog_stabilizer
-      detail: 'Analog-cluster-state codes are particular analog stabilizer codes. Relaxing the real weighted adjacency matrix of an analog cluster state to be complex yields a description of a general analog (i.e., Gaussian) stabilizer code state \cite{arxiv:1007.0725}.'
+      detail: 'Analog-cluster-state codes are particular analog stabilizer codes. Relaxing the real weighted adjacency matrix of an analog cluster state to be complex yields a description of a general analog (i.e., Gaussian) stabilizer code state \cite{arxiv:1007.0725}. Pure Gaussian states, which are normalizable approximate versions of analog stabilizer states, are not equivalent to finitely squeezed analog cluster states via Gaussian local unitaries \cite{arxiv:1912.06463}.'
     - code_id: group_cluster_state
       detail: 'Analog cluster states are group-based cluster states for \(G=\mathbb{R}\).'
 

codes/quantum/oscillators/stabilizer/lattice/gkp-stabilizer.yml

@@ -42,9 +42,9 @@ relations:
     - code_id: gkp_concatenated
       detail: 'Oscillator-into-oscillator GKP codes concantenated with qubit-into-oscillator GKP codes can outperform more conventional concatenations of qubit-into-oscillator GKP codes with qubit stabilizer codes \cite{arxiv:2209.04573}.'
     - code_id: dfour_gkp
-      detail: '\(D_4\) hyper-diamond GKP codes may be optimal for GKP stabilizer codes utilizing two ancilla modes \cite{arxiv:2212.11970}.'
+      detail: '\(D_4\) hyper-diamond GKP codes may be optimal for oscillator-into-oscillator GKP codes utilizing two ancilla modes \cite{arxiv:2212.11970}.'
     - code_id: hexagonal_gkp
-      detail: 'Hexagonal GKP codes may be optimal for GKP stabilizer codes utilizing one ancilla mode \cite{arxiv:2212.11970}.'
+      detail: 'Hexagonal GKP codes may be optimal for oscillator-into-oscillator GKP codes utilizing one ancilla mode \cite{arxiv:2212.11970}.'
 
 
 # Begin Entry Meta Information